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Finding the Third Proportional to 29,470 and 60,641

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Solution

The third proportional to 29,470 and 60,641 is: 124,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470 : 60,641 = 60,641 : x
  2. Step 2: Convert to fraction form
    29,470/60,641 = 60,641/x
  3. Step 3: Cross multiply
    29,470x = 60,641 × 60,641
  4. Step 4: Simplify right side
    29,470x = 3,677,330,881
  5. Step 5: Solve for x
    x = 3,677,330,881/29,470
  6. Step 6: Final answer
    x = 124,782.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.